\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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Compute \(A B\) and \(B A\) for \(A = \begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}\) and \(B = \begin{pmatrix} 1 & 0 \\ 3 & 1 \end{pmatrix}\), and conclude that \(A B \neq B A\).
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